login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A213855 Least m > 0 such that m! * 4^m >= n!. 2
1, 1, 2, 2, 3, 4, 4, 5, 6, 7, 7, 8, 9, 9, 10, 11, 12, 12, 13, 14, 15, 15, 16, 17, 18, 18, 19, 20, 21, 22, 22, 23, 24, 25, 25, 26, 27, 28, 28, 29, 30, 31, 32, 32, 33, 34, 35, 36, 36, 37, 38, 39, 39, 40, 41, 42, 43, 43, 44, 45, 46, 47, 47, 48 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

Clark Kimberling, Table of n, a(n) for n = 1..1000

EXAMPLE

a(5) = 3 because (4^2)*2! < 5! <= (4^3)*3!.

MAPLE

A213855 := proc(n)

        for m from 1 do

                if (4^m)*m! >= n! then

                        return m;

                end if;

        end do:

end proc: # R. J. Mathar, Jul 18 2012

MATHEMATICA

Table[m=1; While[n!>(4^m)*m!, m++]; m, {n, 1, 100}]

CROSSREFS

Cf. A213854.

Sequence in context: A064488 A049472 A125229 * A272206 A122797 A281957

Adjacent sequences:  A213852 A213853 A213854 * A213856 A213857 A213858

KEYWORD

nonn,easy,changed

AUTHOR

Clark Kimberling, Jul 17 2012

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified June 13 11:29 EDT 2021. Contains 344990 sequences. (Running on oeis4.)